/// <summary>
/// Create Voronoi DCEL from a collection of vertices.
/// First creates a delaunay triangulation and then the corresponding Voronoi diagram
/// </summary>
/// <param name="vertices"></param>
/// <returns>DCEL representation of Voronoi diagram</returns>
public static DCEL Create(IEnumerable <Vector2> vertices)
{
// create delaunay triangulation
// from this the voronoi diagram can be obtained
var m_Delaunay = Delaunay.Create(vertices);
return(Create(m_Delaunay));
}
public void VoronoiFromDelaunayTest2()
{
var delaunay = Delaunay.Create(m_allVertices);
var voronoi = Voronoi.Create(delaunay);
Assert.AreEqual(6, voronoi.VertexCount);
Assert.AreEqual(7, voronoi.EdgeCount);
Assert.AreEqual(3, voronoi.FaceCount);
}
public void DelaunayTriangulation2()
{
var m_delaunay = Delaunay.Create(m_arrowVertices);
Assert.IsTrue(Delaunay.IsValid(m_delaunay));
var triangles = (System.Collections.ICollection)m_delaunay.Triangles;
Assert.Contains(new Triangle(m_topVertex, m_rightVertex, m_botVertex), triangles);
Assert.Contains(new Triangle(m_topVertex, m_farRightVertex, m_rightVertex), triangles);
Assert.Contains(new Triangle(m_rightVertex, m_farRightVertex, m_botVertex), triangles);
}
public void DelaunayTriangulation1()
{
var m_delaunay = Delaunay.Create(m_diamondVertices);
Assert.IsTrue(Delaunay.IsValid(m_delaunay));
Assert.AreEqual(m_diamond.Area, m_delaunay.Area, MathUtil.EPS);
var triangles = (System.Collections.ICollection)m_delaunay.Triangles;
Assert.Contains(new Triangle(m_topVertex, m_rightVertex, m_leftVertex), triangles);
Assert.Contains(new Triangle(m_leftVertex, m_rightVertex, m_botVertex), triangles);
}
public void TestCocircularPoints()
{
var m_Delaunay = Delaunay.Create();
m_Delaunay.AddVertex(new Vector2(1, 1));
m_Delaunay.AddVertex(new Vector2(1, 2));
m_Delaunay.AddVertex(new Vector2(2, 2));
m_Delaunay.AddVertex(new Vector2(2, 1));
m_Delaunay.AddVertex(new Vector2(1, 3));
m_Delaunay.AddVertex(new Vector2(2, 3));
}
public void TestColinearPoints()
{
var m_Delaunay = Delaunay.Create();
m_Delaunay.AddVertex(new Vector2(1, 1));
m_Delaunay.AddVertex(new Vector2(2, 2));
m_Delaunay.AddVertex(new Vector2(3, 3));
m_Delaunay.AddVertex(new Vector2(1, 4));
m_Delaunay.AddVertex(new Vector2(2, 8));
m_Delaunay.AddVertex(new Vector2(3, 12));
}
public void DelaunayAddVertexTest()
{
var m_delaunay = Delaunay.Create();
Delaunay.AddVertex(m_delaunay, m_topVertex);
Delaunay.AddVertex(m_delaunay, m_botVertex);
Delaunay.AddVertex(m_delaunay, m_leftVertex);
Delaunay.AddVertex(m_delaunay, m_farRightVertex);
Delaunay.AddVertex(m_delaunay, m_rightVertex);
m_delaunay.RemoveInitialTriangle();
Assert.IsTrue(Delaunay.IsValid(m_delaunay));
// check for triangles
var triangles = (System.Collections.ICollection)m_delaunay.Triangles;
Assert.Contains(new Triangle(m_topVertex, m_rightVertex, m_leftVertex), triangles);
Assert.Contains(new Triangle(m_leftVertex, m_rightVertex, m_botVertex), triangles);
Assert.Contains(new Triangle(m_topVertex, m_farRightVertex, m_rightVertex), triangles);
Assert.Contains(new Triangle(m_rightVertex, m_farRightVertex, m_botVertex), triangles);
}
void Generate()
{
del.Create();
foreach (Triangle t in del.triangles)
{
if (t.GetReplacements() != null)
{
continue;
}
if ((t[0] == 0 || t[0] == 1 || t[0] == 2) ||
(t[(0 + 1) % 3] == 0 || t[(0 + 1) % 3] == 1 || t[(0 + 1) % 3] == 2) ||
(t[(0 + 2) % 3] == 0 || t[(0 + 2) % 3] == 1 || t[(0 + 2) % 3] == 2))
{
continue;
}
// Add link
CreateLink(systems[new Coordinate(del.vertices[t[0]].coordinate)], systems[new Coordinate(del.vertices[t[1]].coordinate)]);
CreateLink(systems[new Coordinate(del.vertices[t[1]].coordinate)], systems[new Coordinate(del.vertices[t[2]].coordinate)]);
CreateLink(systems[new Coordinate(del.vertices[t[2]].coordinate)], systems[new Coordinate(del.vertices[t[0]].coordinate)]);
}
Emit("OnGenerate", new object[] { });
}
// Initial call for the construction of the Voronoi diagram
public void StartVoronoi()
{
m_delaunay = Delaunay.Create();
m_dcel = Voronoi.Create(m_delaunay);
VoronoiDrawer.setDCEL(m_dcel);
}
// Handle inputs each frame
void Update()
{
if (Input.GetKeyDown("c"))
{
VoronoiDrawer.CircleOn = !VoronoiDrawer.CircleOn;
}
if (Input.GetKeyDown("e"))
{
VoronoiDrawer.EdgesOn = !VoronoiDrawer.EdgesOn;
}
if (Input.GetKeyDown("v"))
{
VoronoiDrawer.VoronoiOn = !VoronoiDrawer.VoronoiOn;
}
// Handle mouse clicks
if (Input.GetMouseButtonUp(0)) // LMB was clicked this frame
{
// Cast a ray, get everything it hits
RaycastHit2D[] hit = Physics2D.RaycastAll(Camera.main.ScreenToWorldPoint(Input.mousePosition), Vector2.zero, Mathf.Infinity);
if (hit.Length > 0) // If we hit something
{
// Grab the top hit GameObject
GameObject lastHitObject = hit[hit.Length - 1].collider.gameObject;
// If a shepherd was clicked, remove it
if (lastHitObject.name == "shepherd(Clone)")
{
m_shepherds.Remove(lastHitObject); // remove from shepherd clone list
shepherdLocs.Remove(lastHitObject.transform.position); // remove location from list
Destroy(lastHitObject);
// Create new Delaunay triangulation
m_delaunay = Delaunay.Create();
foreach (KeyValuePair <Vector2, int> o in shepherdLocs)
{
Delaunay.AddVertex(m_delaunay, o.Key);
m_delaunay.SetOwner(o.Key, o.Value);
}
// Create new Voronoi diagram
m_dcel = Voronoi.Create(m_delaunay);
VoronoiDrawer.setDCEL(m_dcel);
// Create vertical decomposition and check solution
if (shepherdLocs.Count > 0)
{
VerticalDecomposition vd = VertDecomp(m_dcel);
Debug.LogAssertion("The current solution is " + (CheckSolution(vd) == 0 ? "correct!" : "wrong!"));
VoronoiDrawer.SetVD(vd);
}
else
{
// If we do not have any shepherds, do not create vertical decomposition
// Solution without shepherds is always wrong
Debug.LogAssertion("The current solution is wrong!");
continueButton.SetActive(false);
UpdateText(m_sheep.Count);
}
// Update Voronoi drawing
UpdateMesh();
}
}
else // LMB was clicked on empty space
{
// Add shepherd at mouse location
var mousePos = Input.mousePosition;
if (!EventSystem.current.IsPointerOverGameObject() && shepherdLocs.Count < budget)
{
mousePos.z = 2.0f;
var objectPos = Camera.main.ScreenToWorldPoint(mousePos);
var obj = Instantiate(m_shepherdPrefab, objectPos, Quaternion.identity);
SpriteRenderer sr = obj.GetComponent <SpriteRenderer>();
sr.color = Colors[m_activeShepherd];
// The new vertex
var me = new Vector2(objectPos.x, objectPos.y);
// store owner of vertex
shepherdLocs.Add(me, m_activeShepherd);
m_shepherds.Add(obj);
// Add vertex to the triangulation
Delaunay.AddVertex(m_delaunay, me);
m_delaunay.SetOwner(me, m_activeShepherd);
// Update Voronoi
m_dcel = Voronoi.Create(m_delaunay);
VoronoiDrawer.setDCEL(m_dcel);
// Create vertical decomposition and check solution
VerticalDecomposition vd = VertDecomp(m_dcel);
CheckSolution(vd);
// Update VD in drawer
VoronoiDrawer.SetVD(vd);
// Update Voronoi drawing
UpdateMesh();
}
}
}
}
private void Start()
{
m_Delaunay = new Delaunay();
m_Delaunay.Create();
}
// Use this for initialization
void Start()
{
Delaunay del = new Delaunay();
Vector3[] starts = new Vector3[] {
new Vector3(-10, 5, 0),
new Vector3(0, -15, 0),
new Vector3(10, 5, 0),
};
foreach (Vector3 start in starts)
{
//GameObject v = Instantiate(vert);
//v.transform.position = start/*;*/
del.vertices.Add(new Vertex {
coordinate = start
});
}
//del.vertices.Add(null);
//del.vertices.Add(null);
//del.vertices.Add(null);
int Npoints = 25;
for (int i = 0; i < Npoints; ++i)
{
float x = Random.Range(-5.0f, 5.0f);
float y = Random.Range(-5.0f, 5.0f);
//if(y > 5 - x) {
// continue;
//}
Vector3 pos = new Vector3(x, y, 0);
GameObject v = Instantiate(vert);
v.transform.SetParent(transform);
v.transform.localPosition = pos;
del.vertices.Add(new Vertex {
coordinate = pos
});
}
vert.SetActive(false);
del.Create();
foreach (Triangle t in del.triangles)
{
if (t.GetReplacements() != null)
{
continue;
}
if ((t[0] == 0 || t[0] == 1 || t[0] == 2) ||
(t[(0 + 1) % 3] == 0 || t[(0 + 1) % 3] == 1 || t[(0 + 1) % 3] == 2) ||
(t[(0 + 2) % 3] == 0 || t[(0 + 2) % 3] == 1 || t[(0 + 2) % 3] == 2))
{
continue;
}
for (int i = 0; i < 3; ++i)
{
Debug.DrawLine(
del.vertices[t[i]].coordinate,
del.vertices[t[(i + 1) % 3]].coordinate,
Color.yellow, 100
);
GameObject edge = new GameObject("edge");
edge.transform.SetParent(transform);
LineRenderer lr = edge.AddComponent <LineRenderer>();
lr.SetPositions(new Vector3[] { del.vertices[t[i]].coordinate, del.vertices[t[(i + 1) % 3]].coordinate });
lr.startWidth = 0.05f;
lr.endWidth = 0.05f;
lr.startColor = Color.red;
lr.endColor = Color.red;
lr.gameObject.layer = (int)AppInfo.Layer.StarMap;
lr.material = starPathMaterial;
}
}
}